1067985360 has 360 divisors, whose sum is σ = 3971826144. Its totient is φ = 256988160.

The previous prime is 1067985341. The next prime is 1067985389. The reversal of 1067985360 is 635897601.

It is a happy number.

1067985360 is a `hidden beast` number, since 106 + 7 + 9 + 8 + 536 + 0 = 666.

1067985360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×1067985360² = 2281185458348659200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8152495 + ... + 8152625.

Almost surely, 2^1067985360 is an apocalyptic number.

1067985360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1067985360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1985913072).

1067985360 is an abundant number, since it is smaller than the sum of its proper divisors (2903840784).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1067985360 is a wasteful number, since it uses less digits than its factorization.

1067985360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 1067985360 is about 32680.0452876063. The cubic root of 1067985360 is about 1022.1667894396.

The spelling of 1067985360 in words is "one billion, sixty-seven million, nine hundred eighty-five thousand, three hundred sixty".